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Simplifying 8(x + 6) + 1 = 2(x + -7) Reorder the terms: 8(6 + x) + 1 = 2(x + -7) (6 * 8 + x * 8) + 1 = 2(x + -7) (48 + 8x) + 1 = 2(x + -7) Reorder the terms: 48 + 1 + 8x = 2(x + -7) Combine like terms: 48 + 1 = 49 49 + 8x = 2(x + -7) Reorder the terms: 49 + 8x = 2(-7 + x) 49 + 8x = (-7 * 2 + x * 2) 49 + 8x = (-14 + 2x) Solving 49 + 8x = -14 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 49 + 8x + -2x = -14 + 2x + -2x Combine like terms: 8x + -2x = 6x 49 + 6x = -14 + 2x + -2x Combine like terms: 2x + -2x = 0 49 + 6x = -14 + 0 49 + 6x = -14 Add '-49' to each side of the equation. 49 + -49 + 6x = -14 + -49 Combine like terms: 49 + -49 = 0 0 + 6x = -14 + -49 6x = -14 + -49 Combine like terms: -14 + -49 = -63 6x = -63 Divide each side by '6'. x = -10.5 Simplifying x = -10.5
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